On equivalence relations generated by Cauchy sequences in countable metric spaces

DOI10.1016/J.APAL.2020.102854zbMath1484.03097OpenAlexW3037215020MaRDI QIDQ2004961

Kai Gu, Longyun Ding

Publication date: 7 October 2020

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2020.102854

zbMATH Keywords

Polish metric spaceBorel reductionCauchy sequence equivalence relation

Mathematics Subject Classification ID

Complete metric spaces (54E50) Descriptive set theory (03E15) Compact (locally compact) metric spaces (54E45) Scattered spaces (54G12)

Cites Work

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• The complexity of the homeomorphism relation between compact metric spaces
• The complexity of classifying separable Banach spaces up to isomorphism
• The Structure of σ-Ideals of Compact Sets
• The Structure of Hyperfinite Borel Equivalence Relations
• Borel actions of Polish groups
• Cofinal families of Borel equivalence relations and quasiorders
• The classification of hypersmooth Borel equivalence relations
• Functional analysis and infinite-dimensional geometry

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